4. figure A is a trapezoid the parallel sides are the bases and the other sides are the legs.
5. sum of interior angles is 360 to find the other answer subtract all known angles from 360.
6. figure B is a parallelogram. if angles are congruent that means they have the same measure. so if angle 1 is 128 then and 4 is 128.
7. the definition of a square : all interior angles each measure 90 degrees.
8. nonconsecutive means they aren't next to each other so in figure D angles d and b and angles a and c for figure E angle j and m and angle n and l
9. figure e is concave that means its got an angle that "caves in"
The answer is positive since the slope is positive.
To find how much space remains in the box, you will find the total space of the box by finding the volume of it. Then you will subtract the volumes of the 2 triangular prisms. The remaining would be the extra space.
Volume of Rectangular Prism - 2(Volume of the Triangular Prism)
Bh - Bh
(3 x 6 x 4) - 2 [(1/2 x 2 x 5) x 3]
72 cubic feet - 30 cubic feet
42 cubic feet
There are 42 cubic feet of space remaining.
1. I believe the answer is D, y = fifth root of (x+4)/3
y = 3x⁵ - 4
Interchanging x and y
x = 3y⁵ - 4
solving for y in the equation; x=3y⁵-4
y = ((x+4)/3)^1/5
= ((x+4)/3)^1/5
2. inverse of the equation y = 3e^-4x+1
I think the answer is D;
Interchanging the variables x and y
x= 3e^-4y-1
Solving for y in x = 3e^-4y +1
y= -(In(x/3)-1)/4
= (1-In(x/3))/4